Answer:
52 square units
Step-by-step explanation:
For this you need the length of CB and the length of DA.
|CB| = √(10²+2²) = 2√26
|DA| = √(10²+2²) = 2√26
area of ABC = base · height / 2 = 2√26 · 2√26 / 2 = 52
Answer:
All of these terms are dollar amounts.
Step-by-step explanation:
Here, x + y = 10 (where these numerals represent counts)
(1/2)x + (1/4)y = 4 (where (1/2), (1/4) and 4 are dollar amounts)
Let's eliminate y. To accomplish this, mult. the 2nd eq'n by-4, obtaining
-2x - y = -16, and then combining this with the 1st equation, as follows:
-2x - y = -16
x + y = 10
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-x = -6, or x = 6. This represents the number of pens purchased by Terrance.
Subbing 6 for x in the first equation, we get y = 4. This represents the number of pencils he bought.
($0.50)x + ($0.25)y = $4.00 (dollar amounts)
Answer:
Explanation:
The theoretical probability, P (A), of an event, A, is:
- P(A) = number of outcomes of event A / total number of possible outcomes
For 10 cranberry and 15 strawberry juices, the number of outcomes for two strawberry juices are:
- Combination of 15 strawberry juices chosen in two:
The total number of possible outcomes is:
- Combination of 25 juices chosen in two:
Thus, the probability of randomly picking two strawberry juices is:
- P (two strawberry juices) = 105/300 = 7/20
Note that you can obtain it as the product of the probabilities that the first juice is a strawberry juice and the second juice is also strawberry juice:
Answer:
1/6 becuase there are 6 sides on a dice
Answer:
The number of adults tickets and student tickets purchased is 5 and 3.
Given that,
Tickets to a movie cost $7.25 for adults and $5.50 for students.
A group of friends purchased 8 tickets for $52.75.
Here we assume the no of adult tickets and no of student tickets be x and y.
Based on the above information, the calculation is as follows:
7.25x + 5.50y = 52.75 .............(i)
x + y = 8
x = 8 - y..................(2)
Now put the x value in the equation (1)
So,
7.25(8-y) + 5.50y = 52.75
7.25 × 8 - 7.25y + 5.50y = 52.75
58 - 1.75y = 52.75
5.25 = 1.75y
y = 3
So,
x = 8 - 3
= 5
Therefore we can conclude that the number of adults tickets and student tickets purchased is 5 and 3.
-Hope this helps<3
